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To Download — Second Edition of the Book "Finite Element Procedures" (4th printing)

You are welcome to download the second edition of the book, 4th printing, however, please note that the book is copyrighted and should only be used in the
same manner as a purchased hard-copy of the book.

Improved versions will be made available here, from time to time, as the 5th printing, and so on.

Solutions to exercises in the book "Finite Element Procedures", 2nd Edition, 2014 are given in this manual (.pdf)

The Chinese translation of the 2nd edition is also available: Vol.
1Vol. 2

Following are more than 700 publications — that we know of — with
reference to the use of ADINA. The pages give the Abstracts of some papers published since 1986 referring to ADINA. The most recent papers are listed first. All these papers may be searched using the box:

Abstract:
Solution capabilities for two- and three-dimensional nonlinear
finite element analysis of concrete structures are presented. The
concrete material is modeled including the triaxial nonlinear
stress-strain behavior, tensile cracking, tension-stiffening,
compression crushing and strain-softening. The results of various
sample analyses are given to demonstrate the constitutive model and
the solution strategies. These analyses include the response
predictions of a test beam and of small scale models of two reactor
vessels. (19 refs.)

Abstract:
This paper presents the development of an efficient and numerically
stable algorithm for the accurate solution of the free vibration
problem arising in the analysis of undamped spinning systems. Closely
related to the standard subspace iteration method, the procedure
fully exploits the banded nature of the associated structural
matrices and avoids complex algebra in all computations. A practical
numerical example is presented to demonstrate the effectiveness and
accuracy of the proposed algorithm. (16 refs.)

Abstract:
A primary objecive of the crack-arrest studies being conducted by
the Heavy-Section Steel Technology (HSST) program is to understand
pressure vessel conditions that would initiate growth of an existing
crack and conditions that would lead to arrest of a moving crack. In
meeting this objective, the HSST program is generating crack-arrest
data over an expanded temperature range through tests involving large
cylinders, pressure vessels and wide-plate specimens. This paper
describes the portion of those studies that relate to the
installation of two viscoplastic constitutive models and several
proposed fracture criteria into the ADINA finite element program. (35
refs.)

Abstract:
Stiffened panels are fundamental structural elements in modern
warships. As part of a research program to improve Canadian warship
design standards for air blast loading, a stiffened panel
instrumented with pressure, acceleration, displacement and strain
gages was subjected to an air blast wave from a surface explosion at
the Defence Nuclear Agency's event code named MINOR SCALE. This paper
presents a dynamic response analysis of the panel using the finite
element computer program ADINA. The panel response and associated
acceleration, displacement and strain are computed and compared in
detail to experimental results. The response characteristics are also
critically examined to determine the relationship of the applied
loading to the structural response. (9 refs.)

Abstract:
The final disposal of high-level radioactive waste in a salt dome
affects the thermomechanical behavior of the surrounding rock salt
due to the temperature rise caused by the heat generation of the
radioactive waste. The near-field thermomechanical phenomena around
several in situ temperature tests and a 300-m-deep conceptual
borehole were studied numerically. Thermally induced closure of the
boreholes and the strain-stress field distribution in the rock salt
following the pressure load on the measuring probe surface and on the
waste containers were determined. The calculations were performed
with the commercial finite element program ADINA, taking into account
the nonlinear and time-dependent behavior of the rock salt. The
purpose of these investigations was a validation of the numerical
methods, of the thermomechanical material parameters of rock salt,
and of the model boundary conditions. (15 refs.)

Abstract:
Analysis has been performed of a flat circular plate 150 mm diameter
and 20 mm thick which is subjected to a severe thermal downshock on a
36 mm diameter zone at the centre of one surface. A semi-elliptical
surface crack is positioned in the cooled zone. Calculations of
temperature, stress and stress intensity factor have been made by two
methods and the results compared. The first is a two dimensional
axisymmetric finite element analysis using the ADINAT/ADINA programs.
The second is based on a one dimensional approximation to the problem
using the code STRIPE developed by the UKAEA. It is shown that at the
centre line of the cooled zone, temperatures, stresses and maximum
depth stress intensity factors for a small crack are in close
agreement when calculated by the two methods. For a large crack the
one dimensional approximation has overstimated stress intensity
factors since it has not accounted for reducing stress in the plate
surface away from the centre line.

Abstract:
A stochastic finite element approach is discussed for the nonlinear
random vibration analysis of framed systems with hysteretic supports.
The solution is obtained by stochastic linearization which uses
complex modes of vibration of the system. The method was applied to a
piping system on yielding supports. The results in the form of
probability distribution of the peak displacement were compared with
limited simulation studies using the program ADINA. A model for the
case of beams with hyteretic behavior is also presented and described
in this paper. (11 refs.)

Abstract:
The results of the two and three-dimensional, nonlinear analyses of
a caisson retained island in the Beaufort Sea are presented. A
hyperbolic stress-strain relation for soils has been implemented in a
general purpose finite element program, ADINA, to carry out the
analysis. Based on the comparisons of the results, conclusions were
drawn about whether a two-dimensional analysis can be safely used to
replace a three-dimensional analysis.

Abstract:
Finite element analyses were conducted of the threaded marine riser
connector which has the main, internal, and external shoulder seals.
The objectives of the analyses are to evaluate the fatigue
resistance, strength, and seal capability of the connector under the
bending, tensile, internal and external pressure loads. An element
which models the bending effect in an axisymmetric body is developed
and implemented into the computer program ADINA. Using the program,
stress concentration factors at the corner and threaded parts of the
connector under these loads are obtained. The large contribution of
both shoulders to the reduction of the stress concentration factors
is found to be quite clear. The seal mechanism and the stress
response of the connectors are also clarified. The fatigue evaluation
based on ASME Boiler and Pressure Vessel Code, Sec. III, Rules for
Construction of Nuclear Power Plant Components, Division 1,
Subsection NB are compared with the experimental results.

Abstract:
Large span elliptical culverts stiffened over the upper portion with
a concrete cap can be used economically in highway construction at
locations where only a small soil cover is possible. The behavior of
such structures based on analyses obtained using the finite element
program ADINA is presented. The load-carrying mechanism for the
composite structure is dependent primarily on the amount of lateral
deformation permitted by the adjacent soil and the thickness of the
concrete cap. It is concluded that the behavior of the structure is
that of a flat arch; but, with the lateral deformations likely to
occur, the concrete section should be proportioned as a simple beam.
(4 refs.)

Abstract:
The role of nonlinear rate-dependent effects in the interpolation of
crack run-arrest events in ductile materials is being investigated by
the Heavy-Section Steel Technology (HSST) program through development
and applications of viscoplastic-dynamic finite element analysis
techniques. This paper describes studies where various viscoplastic
constitutive models and several proposed nonlinear fracture criteria
are being installed in general purpose (ADINA) and special purpose
(VISCRK) finite element computer programs. The models implemented in
these computer programs include the Bodner-Partom and the Perzyna
viscoplastic formulations; the proposed fracture criteria include
three parameters that are based on energy principles. The predictive
capabilities of the nonlinear techniques are evaluated through
applications to a series of HSST wide-plate crack-arrest tests. To
assess the impact of including viscoplastic effects in the
computational models, values of fracture parameters calculated in
elastodynamic and in viscoplastic-dynamic analyses are compared for a
large wide-plate test. Plans are reviewed for additional
computational and experimental studies to assess the utility of
viscoplastic analysis techniques in constructing a dynamic inelastic
fracture mechanics model for ductile steels. (34 refs.)

Abstract:
This paper describes procedures for design sensitivity analysis and
optimization of nonlinear structural systems with the computer
program ADINA. Formulation of the structural optimization problem,
design sensitivity analysis with nonlinear response using incremental
finite element procedures, and two strategies to use ADINA for design
optimization are described. A database and a modern database
management system are used to couple ADINA with design sensitivity
analysis and optimization modules. Comparison of optimum designs with
linear and nonlinear structural responses for trusses with material
and geometric nonlinearities are given. More complex structures can
be optimized with the developed procedures to fully exploit the
capabilities of ADINA. (19 refs.)

Abstract:
Ice-sheet/structure iteration models were prepared and analyzed
numerically. The study covers parameters to analyze displacement
boundaries, the effects of sharp foward ridges, artificially induced
cracks, etc. The models were analyzed using finite element
techniques. Nonlinear material property and geometry effects were
also considered. The resulting force, stress and displacement
patterns indicate that a modified geometry of structure will produce
smaller forces to break up the ice, especially when coupled with
radial precuts in strategic locations. Results show good agreement
with the experimental data obtained by Frederking and Timco. The
analytical expressions available to predict floating ice loads on
structures can be verified and re-evaluated by extending present
work. (10 refs.)

Conference:
Computers in Engineering 1987, Proceedings of the ASME International
Computers in Engineering Conference and Exhibition., New York, NY,
USA Sponsor: ASME, Computers in Engineering Div, New York, NY, USA

Publisher:
ASME

Abstract:
A large deflection dynamic nonlinear analysis of the response of a
rectangular plate to an explosive blast has been performed using 40
four-noded 3-D shell elements in the ADINA finite element code. The
top surface of the plate is uniformly loaded with a modified
Friedlander reflected blast overpressure which decays with time
exponentially. The plate is assumed to be hinged along all four edges
which is realistic since the supports normally move and rotate to
some extent due to motion of the connecting elements. The
displacements due to a bilinear material model using materially
nonlinear formulation were compared with predictions from the total
Lagrangian formulation as well as a linear elastic analysis performed
during an earlier investigation. (17 refs.)